A beam is subjected to equal bending moments of Mz = 3100 N·m. The cross-sectional dimensions are b = 180 mm, c = 35 mm, d = 70 mm, and t = 7 mm. Determine: (a) the centroid location (measured with respect to the bottom of the cross-section), the moment of inertia about the z axis, and the controlling section modulus about the z axis.
A beam is subjected to equal bending moments of Mz = 3100 N·m. The cross-sectional dimensions are b = 180 mm, c = 35 mm, d = 70 mm, and t = 7 mm. Determine: (a) the centroid location (measured with respect to the bottom of the cross-section), the moment of inertia about the z axis, and the controlling section modulus about the z axis.
Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)
5th Edition
ISBN:9781305084766
Author:Saeed Moaveni
Publisher:Saeed Moaveni
Chapter12: Electric Current And Related Variables In Engineering
Section12.2: Electrical Circuits And Components
Problem 6BYG
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A beam is subjected to equal bending moments of Mz = 3100 N·m. The cross-sectional dimensions are b = 180 mm, c = 35 mm, d = 70 mm, and t = 7 mm. Determine:
(a) the centroid location (measured with respect to the bottom of the cross-section), the moment of inertia about the z axis, and the controlling section modulus about the z axis.
(b) the bending stress at point H. Tensile stress is positive, while compressive stress is negative.
(c) the bending stress at point K. Tensile stress is positive, while compressive stress is negative.
(d) the maximum bending stress produced in the cross section. Tensile stress is positive, while compressive stress is negative.
![M2
M
H
d
(typ)
K
b
Answer:
(a) y=
mm
Iz =
i
mm4
S =
i
mm3
(b) OH =
MPa
(c) OK =
i
MPa
%3D
( d) σmax
i
MPа](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffc203dbb-3129-4e92-a9a9-df7eec5dd8a4%2Fe8c72859-2670-4df8-927e-08416ab8a9bc%2Fpv67rp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:M2
M
H
d
(typ)
K
b
Answer:
(a) y=
mm
Iz =
i
mm4
S =
i
mm3
(b) OH =
MPa
(c) OK =
i
MPa
%3D
( d) σmax
i
MPа
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